Differentiate y = (2x+5)^3(6x-1)^5. Express your answer in factored form.

Differentiate y = (2x+5)^3(6x-1)^5. Express your answer in factored form.

A particle is moving along the curve y=sqrt(x). As the particle passes through the point (4,2), it's x-coordinate increases at a rate of 3cm/s. How fast is the distance from the particle to the origin...

Hey this is one question ive been struggling with in calc, if anyone could help that would be great thanks

Use the function f(x) = sinx+cosx, where 0≤x≤pi, to answer the following. A) Determine all stationary points. Classify the points as relative minima or maxima. B) Locate any points...

Use the function f(x) = sinx+cosx, where 0≤x≤pi, to answer the following. A) Determine all stationary points. Classify the points as relative minima or maxima. B) Locate any points...

If 2y2-xy-x2 = 0, find dy/dx. And, determine the slope of the tangent at x =1.

Consider the function f(t)=10sec^2(t)-10t^2. Let F(t) be the antiderivative of f(t) with F(0)=0. The F(4)=______?

A roast turkey is taken from an oven when its temperature has reached 185ºF and is placed on a table in a room where the temperature is 75ºF. (a) If the temperature of the turkey...

Application of derivative

If f(x) = sinx, evaluate f(2+h)-f(2)/h to two decimal places as h approaches 0. Help?!

(a) Find the lim x→0 (b) Find the interval on which f is increasing. (c) Find the point at witch f attains its maximum value

Use the function f(x) = x^2-4√x to answer the following questions. A) Is the graph symmetric about the x or y axis? Justify your answer B) Find the asymptotes if any C) Where does...

If 1800 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box. Volume=_______?

Consider the function f(t)=10sec^2(t)-10t^2. Let F(t) be the antiderivative of f(t) with F(0)=0. Then F(4)=_____?

Consider the function f(x)=(2/x^2)-(7/x^6). Let F(x) be the antiderivative of f(x) with F(1)=0. Then F(x)=_____?

Find two positive numbers A and B (with A ≤ B) whose sum is 76 and whose product is maximized. A=_______ B=_______

Use a calculator to approximate the slope of the tangent line drawn to the graph of y = 2sinx + cosx at x = 4.2. Round your answer to 2 decimal places.

Determine the open intervals on which the graph is concave upward or concave downward. f (x) = (x^2 + 2)/ (x^2 − 4)

Find the slope of the tangent to the curve f(x) = x2-2x-1 at the point (3,2)

Differentiate 2xy-17=-3x2 to find the slope at point (2,5). help?!